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Scheduling Position-Dependent Maintenance Operations in Single Machine Layouts

In: Operations Research Proceedings 2023

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  • Andreas Hipp

    (Institute for Business Administration, esp. Management Science and Operations Research, Helmut Schmidt University)

Abstract

In this paper, we consider the single machine scheduling problem of minimizing the number of late jobs taking into account ready times, due dates, and uniform processing times. Assuming limited machine availability, position-dependent maintenance operations of uniform length must be performed on the machine no later than a given number of scheduled jobs. This type of maintenance can be found in any real-world setting where the number of jobs, rather than their length, is the main cause of deterioration, such as aircraft landing gear. We discuss the characteristics of this scheduling problem and formulate an algorithm to solve the above single machine problem in polynomial time.

Suggested Citation

  • Andreas Hipp, 2025. "Scheduling Position-Dependent Maintenance Operations in Single Machine Layouts," Lecture Notes in Operations Research, in: Guido Voigt & Malte Fliedner & Knut Haase & Wolfgang Brüggemann & Kai Hoberg & Joern Meissner (ed.), Operations Research Proceedings 2023, chapter 0, pages 25-31, Springer.
    • Handle: RePEc:spr:lnopch:978-3-031-58405-3_4
    DOI: 10.1007/978-3-031-58405-3_4
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